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Finding the Fourth Proportional to 343.74, 474.33 and 196.34

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Solution

The fourth proportional to 343.74, 474.33 and 196.34 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 474.33 = 196.34 : x
  2. Step 2: Convert to fraction form
    343.74/474.33 = 196.34/x
  3. Step 3: Cross multiply
    343.74x = 474.33 × 196.34
  4. Step 4: Simplify right side
    343.74x = 93,129.95
  5. Step 5: Solve for x
    x = 93,129.95/343.74
  6. Step 6: Final answer
    x = 270.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.